A turning wheel, a straight push

Analysing a device that turns circular motion into linear motion (B1.1).

Lesson 1 of 3 2 of 5 in the course

Course map

Draft: this lesson was written with AI help and has not yet been read by a human editor.

What your class asks

This lesson asks you to analyse a technological device that applies the principles of linear or circular motion. The museum offers two water-lifting machines from one medieval book, in which turning motion becomes back-and-forth motion; the forces, speeds and calculations, and a device of your own choice, are for your class. 1

Curriculum expectations, with their official codes

  • B1.1 analyse a technological device that applies the principles of linear or circular motion […] [AI, C]

The lesson

Where do circular and linear motion meet?

Follow the motion from the part that turns to the part that moves along a line, and mark the place where one becomes the other. Which quantities would you need to measure to analyse it?

Go deeper

Follow the turning to the line in al-Jazari's double-piston pump. Hill's translation of Category V, Chapter 5 describes two drive alternatives: a vertically mounted vaned wheel turned by flowing water like a mill, or a horizontal paddle wheel driving a gear train. Both end in a disc with an eccentric dowel 2. The slotted lever is housed in a triangular mulberry-wood box, pivoting at a corner and receiving the rotating dowel in its slot 3. The chapter explains successive portions of the rotation: changing dowel position produces lever oscillation and movement of its connected rods, not a piston that rotates like the wheel 3. The text offers two ways to drive one mechanism, and no requirement to install both 2.

Why they did it

No passage in the records gives al-Jazari's reason for these two machines. They show the practical problem of the scoop lifter: raising water from a well or pool, a task associated with supplying water to a channel 4 5. In it, gears carry rotation to a pin that moves through a slot in the ladle stem, raising and lowering the scoop 4. If operated as described, the scoop would move water upward without a person carrying each scoop by hand, but the sources do not document who operated a historical installation or who received its water 4.

Two views

When was the book finished? The encyclopedia dates completion to 1205, and al-Hassani gives 1206, while the Science Museum catalogue calls the published design c. 1205 6 7 8. Hill's introduction gives 1204 or 1206 based on differences among manuscripts 9. The record keeps the differences and repairs none. They are dates of the book, not of a pump built in a particular well 9 10.

How do we know?

The scoop lifter survives as a picture. The Met holds folio 55.121.11, and its record dates the copy to 715 AH/1315 CE and identifies Farrukh ibn Abd al-Latif as copyist 11. The image shows a manuscript drawing, not the physical machine described in the text 11. The folio does not provide a complete engineering plan, verified scale, or proof that the design was constructed as drawn 11 4.

Think about it

Sadettin Ökten emphasizes double action, the conversion of rotation into reciprocation and what he calls the first known use of a suction pipe, and he calls the pump an early example for later pumps and the steam engine 6. Should a physics teacher repeat such a claim, and how would you answer the objection that students remember an origin story better than a caveat?

Into the museum

Try this

Read about the double-piston pump and the scoop lifter. Draw each as a chain from the source of power to the water, and mark where circular motion becomes linear.

Carry it further

Where this lesson leads in the museum.

Check yourself

Nothing here is marked or sent anywhere. It is for you.

Which of these did you meet in this lesson?

Yes. That is the one from this lesson.

Not in this lesson. Look again at the cards above.

Not in this lesson. Look again at the cards above.

In your own words: what does Al-Jazari's waterwheel-driven double-piston pump have to do with this lesson?

Compare with the card

A pump driven by a stream. Al-Jazari described a pump powered by flowing water. According to the TDV encyclopedia, a stream drives a wheel and gears, and a pin with a slotted rod converts the rotation into back-and-forth motion in the arms of two pistons. The record stresses that the contribution is this arrangement, not the invention of water lifting, and that the Science Museum's model is a reconstruction. Where does the motion change its kind?

In your own words: what does Al-Jazari's animal-powered scoop water-lifter have to do with this lesson?

Compare with the card

A pin in a slot, again. Chapter V.4 of al-Jazari's book describes a water lifter turned by an animal. Gears carry the rotation to a pin that moves inside a slot in the ladle stem, raising and lowering the scoop. The record makes no claim that he was the first, and says a folio at the Metropolitan Museum is a later copy, not a surviving machine. How is this pin and slot like the pin and slot of the pump?

I can now

Notes

  1. 1. Ontario Ministry of Education, The Ontario Curriculum: Science
  2. 2. Al-Jazari — Donald Hill translation1974, p.186
  3. 3. Al-Jazari — Donald Hill translation1974, pp.186–187
  4. 4. Al-Jazari — Donald Hill translation1974, pp.184–185
  5. 5. Animal-powered water lifter, folio 55.121.11 — Metropolitan Museum of Art, Catalogue Entry
  6. 6. CEZERÎ, İsmâil b. Rezzâz — TDV (Sadettin Ökten), pp. 505–506
  7. 7. Al-Jazari: The Mechanical Genius — al-Hassani, biography
  8. 8. Model of Double Piston Pump by al-Jazari — Science Museum Group, catalogue
  9. 9. Al-Jazari — Donald Hill translation1974, introduction-life
  10. 10. CEZERÎ, İsmâil b. Rezzâz — TDV (Sadettin Ökten), pp.505–506
  11. 11. Animal-powered water lifter, folio 55.121.11 — Metropolitan Museum of Art, Object record
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